Theorems · Theorem · category theory
commHopfAlgCatEquivCogrpCommAlgCat_functor_obj_unop_X
∀ (R : Type u) [inst : CommRing R] (A : CommHopfAlgCat R), (Opposite.unop ((commHopfAlgCatEquivCogrpCommAlgCat R).functor.obj A)).X = Opposite.op (CommAlgCat.of R ↑A)
- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- Oppositestatement · cited by 8,081
- Opposite.unopstatement and proof · cited by 2,231
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.Grp.Xstatement and proof · cited by 99
- CommAlgCatstatement · cited by 96
- CommHopfAlgCatstatement and proof · cited by 38
- CommAlgCat.ofstatement · cited by 33
- CommHopfAlgCat.Xstatement · cited by 30
- commHopfAlgCatEquivCogrpCommAlgCatstatement and proof · cited by 6
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